Question 11
Show that
$$
(x^2 + y^2)^3 \geq 32(x^3 + y^3)(xy - x - y)
$$
for all real numbers $x, y$ satisfying $x + y \geq 0$.
$$
(x^2 + y^2)^3 \geq 32(x^3 + y^3)(xy - x - y)
$$
for all real numbers $x, y$ satisfying $x + y \geq 0$.
MathNet 2026 — Part 08 Question 11
Math Olympiad Vault · MathNet 2026 — Part 08